6(2x+3)=2(4x+9)

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Solution for 6(2x+3)=2(4x+9) equation:


Simplifying
6(2x + 3) = 2(4x + 9)

Reorder the terms:
6(3 + 2x) = 2(4x + 9)
(3 * 6 + 2x * 6) = 2(4x + 9)
(18 + 12x) = 2(4x + 9)

Reorder the terms:
18 + 12x = 2(9 + 4x)
18 + 12x = (9 * 2 + 4x * 2)
18 + 12x = (18 + 8x)

Add '-18' to each side of the equation.
18 + -18 + 12x = 18 + -18 + 8x

Combine like terms: 18 + -18 = 0
0 + 12x = 18 + -18 + 8x
12x = 18 + -18 + 8x

Combine like terms: 18 + -18 = 0
12x = 0 + 8x
12x = 8x

Solving
12x = 8x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8x' to each side of the equation.
12x + -8x = 8x + -8x

Combine like terms: 12x + -8x = 4x
4x = 8x + -8x

Combine like terms: 8x + -8x = 0
4x = 0

Divide each side by '4'.
x = 0

Simplifying
x = 0

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